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Finding the Third Proportional to 6,498,847.50 and 9,085,322.25

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Solution

The third proportional to 6,498,847.50 and 9,085,322.25 is: 12,701,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,847.50 : 9,085,322.25 = 9,085,322.25 : x
  2. Step 2: Convert to fraction form
    6,498,847.50/9,085,322.25 = 9,085,322.25/x
  3. Step 3: Cross multiply
    6,498,847.50x = 9,085,322.25 × 9,085,322.25
  4. Step 4: Simplify right side
    6,498,847.50x = 82,543,080,386,345.06
  5. Step 5: Solve for x
    x = 82,543,080,386,345.06/6,498,847.50
  6. Step 6: Final answer
    x = 12,701,187.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.